Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075cd |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-6185656125 = -1 · 37 · 53 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 11- -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500,5852] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:40:1] [18:40:1] |
Generators of the group modulo torsion |
j |
-151419437/67881 |
j-invariant |
L |
5.7983504120429 |
L(r)(E,1)/r! |
Ω |
1.2545812709469 |
Real period |
R |
0.19257256538892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025u1 42075ck1 |
Quadratic twists by: -3 5 |